Ejercicios de Evaluacion de Proyectos

 

U_@UA_AGF×L U_@UA_AG F×L V @ZAHPAG @ZAHPAGF×L F×L K@ U_CV U_CV@G[CW @G[CW FL[@_@W WFIUH@

1.1.- PLA U@_WCLA U_@W[A $7055 GCL HA GCLKFGF×L QP@ H@ UADP@L $;5?0 AH GAOC K@ PL AÑC. ³GPAH ³GPAH @W HA [AWA K@ FL[@_@W FL[ @_@W ALPAH QP@ GCO_A @H U_@W[AIFW[A3 _= 10%.

        R   Y     

 

 

K@ HC AL[@_FC_, W@ K@JFL@ @H FL[@_ÆW WFIUH@, QP@ WFDLFJFGA QP@ UC_ @H PWC K@H KFL@_C A [_AZÆW K@H [F@IUC @L PL U@_FCKC K@[@_IFLAKC K@ GAUF[AHF]AGF×L, LC W@ GCO_A @H FL[@_ÆW QP@ W@ W@ K@O@. 1.?.- ANC_A @H U_@W[AIFW[A, GCO_A FL[@_@W WFIUH@ @L WPW CU@_AGFCL@W. W@ U_@W[A $7055 KP_AL[@ GPA[_C AÑCW AH 10% K@ FL[@_ÆW FL[@_ ÆW ALPAH V AGP@_KA QP@ [AL[C @H GAUF[AH GAUF[AH GCIC GCIC HCW FL[@_@ F L[@_@W@W W@W W@ UADP@L @L @ L PLA WCHA GPC[A AH JFLAH K@ HCW ; AÑCW, ³A GPAL[C AWGF@LK@ AWGF@LK@ @W[@ ÝLFGC ÝLF GC UADC3 GCIC W@ GCO_A FL[@_@W F L[@_@W WFIUH@, @W[C WFDLF WFDLFJFGA JFGA Q QP@ P@ GAKA AÑC W@ AGPIPHA_AL AGPIPHA_AL FL[@_@W@W FL[@_ @W@W UC_ $0?0, APLQP@ LC W@ W@ @J@G[Ý@ LFLDPL UADC AH U_CUF@[A_FC K@H KFL@_C, KFL@ _C, UC_ [AL[C HA WPIA UADAKA UADAKA AH JFLAH K@H K@ H AÑC GPA_[C W@_Á= J97055 + 0?0 ^ ; J9 0:55

Fld. Gfvfh Uavhcva Hfzala P.

Uádfla 1

 

U_@UA_AGF×L U_@UA_AG F×L V @ZAHPAG @ZAHPAGF×L F×L K@ U_CV U_CV@G[CW @G[CW FL[@_@W GCIUP@W[C GCIUP@W[C

@L Z@] K@ U_@W[A_ WP KFL@_C AH 10% K@ FL[@_@W WFIUH@ ALPAH KP_AL[@ ; AÑCW, K@GFK@ K@UCWF[A_HC, @W K@GF_, U_@W[A_HC A PL OALGC, QP@ UADA PL FL[@_@W K@H 10% GAUF[AHF]AKC ALPAHI@L[@, UC_ PL U@_FCKC U@_F CKC K@ ; AÑCW, ³GPAL[C ³GPAL[C [@LK_Á [@LK_ Á AGPIPHAKC AGPIPHAKC AH JFLAH K@ @W[@ IFWIC U@_FCKC3 GCIC W@ W@ [_AOAMA @L PL FL[@_@W FL[@_ @W WCO_@ WCO_@ FL[@_@W, FL[@ _@W, @ FLKFGA QP@ GAKA AÑC, @W[A DALALKC PL FL[@_@W WCO_@ FL[@_@W, K@ ANÉ @H LCIO_@ K@ HA GAUF[AHF]AGF×L, HC QP@ WFDLFJFGA QP@ A UA_[F_ K@H FL[@_@W DALAKC, W@ U_CKPG@ C DALAW IÁW GAUF[AH. K@ @W[A IAL@_A HA JC_IPHA QP@KA_FA AWF=

     

 

QP@KALKC= J9 7055(1+5,10)\; J9 :1?1,0?

@L[CLG@W ZAHC_ JP[P_C @W @QPFZAH@L[@ A K@GF_=

            (  )    

 

ZJ9ZAHC_ JP[P_C ZU9 ZAHC_ U_@W@L[@  m9 [AWA LCIFLAH i9 [FUC K@ GAUF[AHF]AGF×L l9 U@_FCKC V ZAHC_ U_@W@L[@, W@_Á @H K@WU@MA_ HA JC_IPHA AL[@_FC_, QP@KALKC=

    Fld. Gfvfh Uavhcva Hfzala P.

 

Uádfla ?

 

U_@UA_AGF×L U_@UA_AG F×L V @ZAHPAG @ZAHPAGF×L F×L K@ U_CV U_CV@G[CW @G[CW @M@_GFGFCW

1.- PLA U@_WCLA @WU@_A _@GFOF _@GFOF_ _ PLA N@_@LGFA N@_ @LGFA AH JFLAH K@H AÑC 0 UC_ PL [C[AH K@ 05.555 PWK, [@LF@LKC PLA [AWA K@H 1?%ALPAH GAUF[AHF]AKA GAKA AÑC. ³A GPAL[C @QPFZAH@L HCW 05.555 PWK PWK AH KFA KF A K@ NCV3 ?.-  PLA U@_WCLA K@UCWF[A NCV HA WPIA K@ $1.555.555, @L PLA GC_UC_AGF×L JFLALGF@_A QP@ H@ _@GCLCG@ _@GCLCG@ PL FL[@_Æ F L[@_ÆWW ALPAH K@H ?;% GAUF[AHF]AKC I@LWPAHI@L[@. ³GPÁH ³GPÁH W@_Á HA GAL[FKAK AGPIPHAKA AH GAOC K@ 0 AÑCW3 7.- K@L[_C K@ 7 AÑCW, PLA U@_WCLA _@GFOF_Á HA WPIA K@ $0.555.555, GC__@WUCLKF@L[@ A PL U_ÆW[AIC C[C_DAKC NAG@ [_@W AÑCW A PLA [AWA K@ FL[@_ÆW K@H 7:% ALPAH GAUF[AHF]AKC I@LWPAHI@L[@. W@ K@W@A WAO@_= ³GPÁH JP@ @H ZAHC_ K@H U_ÆW[AIC3 ;.- NAHHA_ HA GAL[FKAK K@ KFL@_C KF L@_C QP@ W@ W@ K@O K @O@@ FLZ@_[ FLZ@_[F_ F_ NCV, UA_A KFWUCL@_ K@ $?.555.555, $?.555.555, AH JFLAH K@ 7 AÑCW, WF HA [AWA K@ FL[@_@W @W K@H ?%I@LWPAH. 0.- NAHHA_ @H ZAHC_ JP[P_C K@ $1.555.555, FLZ@_[FKC A PLA [AWA K@H 0% [_FI@W[_AH AH GAOC K@ ? AÑCW. :.- U@K_C U@K_ C NF]C NF] C PL K@UCWF[C K@UCWF[C K@ $>405 UC_ G@_[FJFGAKC K@ K@U×WF[C K @U×WF[C A PLA [AWA K@ FL[@_@W F L[@_@W K@H 0% UC_ ; AÑCW. AÑCW. K@[@_IFL@ K@[@ _IFL@ @H ZAHC_ JP[P_C K@ HA FLZ@_WF×L. 4.- @H @ H D@_@L[ D @_@L[@@ K@ PLA [F@LKA [F@LK A K@ IAWGC[AW IAWGC[AW AKQPF_F× PL G_ÆKF[C G_ÆKF [C GC GCL L PL OALGC HCGAH A PLA [AWA K@ FL[@_ÆW FL[@_ ÆW K@H >.4% ALPAH GAUF[AHF]AOH@ W@I@W[_AHI@L[@, W@I@W[_AHI@L[@ , UA_A HA GCIU_A GCIU_A K@ PLA ZFZF@LKA @L HA QP@ U_@[@LK@L UCL@_ PL NC[@H K@ IAWGC[AW UA_A WPW AWFKPCW GHF@L[@W, @H FIUC_[@ K@H G_ÆKF[C G_ÆK F[C @W UC_ UC_ HA GAL[FKAK K@ $>05,555 UADAK@_ UADAK@_CW CW @L PL UHA]C K@ 15 AÑCW ³GPÁH @W @H ZAHC_ QP@ QP@ UADA_ÁL AH JFLAH K@H [[F@IUC F@IUC UAG[AKC, GCLWFK GCLWFK @_ALKC QP@ HA [AWA W@ IAL[@LK_Á FDPAH @L [CKA HA ZFD@LGFA K@H G_ÆKF[C3 >.- @H D@_@L[@ K@ PLA GCIUAÑÉA K@W@A FLG_@I@L[A_ WPW Z@L[AW AUCVAKC GCL HCW _@WPH[AKCW K@ PL @W[PKFC K@ I@_GAKC _@AHF]AKC UC_ HA @IU_@WA, UA_A @HHC _@QPF@_@ AIUHFA_ HA GAUAGFKAK FLW[AHAKA @L HA UHAL[A K@ U_CKPGGF×L UA_A KFGNA AIUHFAGF×L _@QPF@_@ K@ $140.555, UC_ HC GPAH K@GFK@ WCHFGF[A_ @H KFL@_C AH OALGC K@ HA _@DF×L, IFWIC QP@ GCO_A GCO_A PLA [AWA K@ FL[@_ÆW FL[@_ ÆW K@ 14.;;% 14.;;% LCIFLAH GAUF[AHF] GAUF[AHF]AOH@ AOH@ KFA_FAI@ K FA_FAI@L[@. L[@. WF @H U_ÆW[AIC @W UC_ ; AÑCW, GPAH @W @H FIUC_[@ QP@ K@O@_Á GPO_F_3

Fld. Gfvfh Uavhcva Hfzala P.

Uádfla 7

 

U_@UA_AGF×L U_@UA_AG F×L V @ZAHPAG @ZAHPAGF×L F×L K@ U_CV U_CV@G[CW @G[CW ZAHC_ GPC[A

@H ZAHC_ GPC[A, WFDLFJFGA GPC[A @W @H UADC @L QP@ W@ KFZFK@ PLA K@PKA (G_ÆKF[C C U_ÆW[AIC) V WP@H@ FLGHPF_ HCW FL[@_@W@W V HA UA_[@ U_CUC_GFCLAH K@ HA GAL[FKAK C_FDFLAHI@L[@ C[C_DAKA C[C_DAKA AH K@PKC_. @L [Æ_IFLCW [Æ_ IFLCW JFLALGF@_CW JFLALGF@_CW W@ W@ WP@H@ P[FHF] P[ FHF]A_ A_ GCIC AQP@HHA AQP@HHA GAL[FKAK JFMA QP@ W@ UADA K@ IAL@_A _@DPHA_. _@ DPHA_. GPALKC W@ NAOHA K@ PLA GCIU_A A UHA]CW C A GPC[AW, GPC[AW, @L @ L HAW GPC[AW W@ FLGHPV@ [AL[C HA UA_[@ U_CUC_GFCLAH K@H U_@GFC K@H OF@L, GCIC HA UA_[@ GC__@WUCLKF@L[@ K@ HCW FL[@_@W@W. @M@IUHC=

WF PLA U@_WCLA ANC__A >55 PWK GAKA AÑC, @L PL OALGC QP@ UADA @H 1?% K@ FL[@_ÆW GAUF[AHF]AKC ALPAHI@L[@, ³GPAL[C [@LK_Á ANC__AKC AH JFLAHF]A_ @H LCZ@LC AÑC, WF _@AHF]A LP@Z@ K@U×WF[CW GAKA AÑC3. KA[CW= GPC[A (A)9 >55 PWK F9 1?% L9 6 AÑCW J93

UA_A HC AL[@_FC_ AL[@ _FC_ _@AHF]A_@I _@ AHF]A_@ICW CW PL KFAD_AIA K@ JHPMCW, JHPMCW, QP@ GC__@WUCLK@ A HH@ZA_ HCW KA[CW A PLA HFL@A K@ [F@IUC. J

1

?

7

;

0

:

4

>

>55

>55

>55

>55

>55

>55

>55

>55

6

>55

@W FIUC_[AL[@ K@W[AGA_ QP@ HAW JH@GNAW F_AL NAGFA AOAMC, WF W@ @W[A _@AHF]ALKC PL K@W@IOCHWC, UA_A @H GAWC QP@ NAVA PL FLD_@WC, HAW JH@GNAW F_AL NAGFA A__FOA. C[_A _@DHA AUHFGA_, @W QP@ HAW JH@GNAW QP@ ZAL NAGFA AOAMC K@O@ K@O@L L W@_ W@_ FDPAH@W A HAW QP@ ZAL NAGFA A__FOA, UA_A QP@ W@ U_CKP]GA @H OAHALG@ GCL[AOH@. WF @W FIUC_[AL[@ FIUC_[AL[@ HH@@_ @@_ @H GAWC UA_A UA_A UCK@_ D_AJFGA_ D_AJFGA_ OF@L HA HFL@A K@ [F@IUC K@ JHPMCW JHPMCW K@ GAMA.

Fld. Gfvfh Uavhcva Hfzala P.

Uádfla ;

 

U_@UA_AGF×L U_@UA_AG F×L V @ZAHPAG @ZAHPAGF×L F×L K@ U_CV U_CV@G[CW @G[CW PWALKC HA JC_IPHA K@ ZAHC_ U_@W@L[@

                                           LCW QP@KA=

 

J9 11>?5,?0 PWK _@WUP@W[A= AH JFLAH K@H AÑC 6, W@ [@LK_A AGPIPHAKC 11>?5,?0 PWK. @M@_GFGFCW

1.- PLA U@_WCLA AOCLA UC_ PLA GAWA, HA WPIA K@ 155.555 PWK, V @H _@W[C K@H KFL@_C, K@GFK@ UADA_HA @L 15 ALPAHFKAK@W FDPAH@W, _@AHF]ALKC @H U_FI@_ UADC, PLA Z@] AKQPF_FKA HA GAWA. WF HA FLICOFHFA_FA GCO_A PL FL[@_@W K@H 15%GAUF[AHF]AKC ALPAHI@L[@, ³ A GPAL[C AWGF@LK AWGF@LK@L @L HCW UADCW ALPAH@W ALPAH@W FDPAH@W QP@ K@O@L K @O@L _@AHF]A_W@3. _@AHF] A_W@3.

A

A

5

?

A

7

;

A

A

A

:

0

A

4

A

>

A

A

15

6

155.555

                                       Y  R           

 

 

A91:?4;,0; PWK, @H ZAHC_ GPC[A GC__@WUCLK@ A 1:.?4;,0; PWK.

Fld. Gfvfh Uavhcva Hfzala P.

Uádfla 0

 

U_@UA_AGF×L U_@UA_AG F×L V @ZAHPAG @ZAHPAGF×L F×L K@ U_CV U_CV@G[CW @G[CW ?.- PLA PL A AIA K@ GAWA GAWA GCIU_A PLA HAZAKC_A A G_@KF G_@KF[C [C V AGP@ AGP@_KA _KA UADA_HA @L 1? UADCW UADCW I@LWPAH@W K@ 60PWK, GCI@L]ALKC A UADA_ K@L[_C K@ PL I@W A PLA [AWA K@H ?% I@LWPAH. WF [PZF@_A QP@ UADA_HA AH GCL[AKC, K@ ³GPAL[C W@_FA @W@ ZAHC_3 _= 155;,:0 7.- PLA U@_WCLA QPF@_@ GCL[A_ GCL 17.555 PWK K@L[_C K@ > AÑCW. WP FL[@LGF×L @W ANC__A_ PLA GAL[FKAK FDPAH FD PAH GAKA AÑC AÑC KP_AL[@ KP_ AL[@ HCW > U@_FCKCW, @L PL OALGC O ALGC QP@ UADA @H 4% K@ FL[@_@W GAUF[AHF]AKC ALPAHI@L[@. ³K@ GPAL[C W@_FAL @WCW K@U×WF[CW3 _= 1?:4,5>

                       R         Y      

 

;.- @H OALGC U_@W[A ?055 PWK A PLA U@_WCLA, A PLA [AWA K@ FL[@_@W K@ 6% ALPAH GAUF[AHF]AKC I@LWPAHI@L[@. @H U_@W[AIC K@O@_Á GPO_F_W@ @L 0 UADCW ALPAH@W GAKA JFL K@ AÑC, GCI@L]ALKC PL AÑC K@WUP@W K@ _@GFOFKC @H U_ÆW[AIC. GAHGPH@ HC WFDPF@L[@= A. A.   ³A GPAL[C AWGF@LK@L HCW UADCW ALPAH@W3 O.  O.  ³A GPAL[C AWGF@LK@L AWGF@LK@L @W[CW UADCW UADCW WF HA GAUF[AHF]AGF×L GAUF[AHF] AGF×L @W W@I@W[_AH3 0.- WF @L PL OALGC W@ ANC__AL 40PWK GAKA AÑC, A PLA [AWA K@ FL[@_ÆW K@H 0% GAUF[AHF]AKA ALPAHI@L[@, ³GPAL[C W@ [@LK_Á AH JFLAH K@ > AÑCW3. _. 41:,14 :.- @H OALGC A  UADA PL FL[@_ÆW FL[@ _ÆW K@H >% ALPAH GAUF[AHF GAUF[AHF]AKC ]AKC W@I@W[_AHI@L[@. @H OALGC O  UADA 4,6% ALPAH GAUF[AHF]AKC I@LWPAHI@L[@, V @H OALGC G  UADA PLA [AWA K@ 4,>% ALPAH GAUF[AHF]AKA KFA_FAI@L[@. WF PW[@K [F@L@ 055 PWK UA_A FLZ@_[F_, ³QP@ OALGC @H@DF_FA WF @H U@_FCKC K@ K@U×WF[C @W K@ AH I@LCW PL AÑC3.

Fld. Gfvfh Uavhcva Hfzala P.

Uádfla :

 

U_@UA_AGF×L U_@UA_AG F×L V @ZAHPAG @ZAHPAGF×L F×L K@ U_CV U_CV@G[CW @G[CW 4.- PLA U@_WCLA K@U×WF[C 0555 PWK @L HA FLW[F[PGF×L A QP@ UADA PL FL[@_ÆW K@H 15% GAUF[AHF]AKC ALPAHI@L[@. [AIOFÆL K@UCWF[× 0555 PWK @L HA FLW[F[PGF×L O QP@ UADA 15%ALPAH GAUF[AHF]AKC I@LWPAHI@L[@. A.- ³GPAL[C K@MC K@ DALA_ @L @H U_FI@_ GAWC GAWC WF @H KFL@_C KF L@_C U@_IAL@GF× @L AIOAW FLW[F[PGFCL@W UC_ [_@W [_@ W AÑCW3. AÑCW3. O.- ³WF K@MC @H KFL@_ K FL@_C C UC_ ; AÑCW3. AÑCW3. >.- W@ K@UCWF[AL 7555 PWK GAKA AÑC @L PL OALGC QP@ UADA PLA [AWA K@ FL[@_ÆW ALPAH K@H 1?%GAUF[AHF]AKA I@LWPAHI@L[@, ³QP@ GAL[FKAK W@ AGPIPHA_A AH JFLAH K@ 0 K@U×WF[CW ALPAH@W3. 6.- W@ K@UCWF[AL I@LWPAHI@L[@ 155PWK @L PL OALGC QP@ UADA 1?%K@ FL[@_@W ALPAH GAUF[AHF]AKC [_FI@W[_AHI@L[@.³GPAL[C W@ NAO_A AGPIPHAKC K@WUP@W K@ NAG@_ 7: K@UCWF[CW I@LWPAH@W3. 15.- W@ ALPLGFA HA Z@L[A K@ IP@OH@ IP@O H@ K@ GCGFLA, GCGFLA, KCLK@ HA U@_WCLA AOCLA ?555 ?555 PWK, PWK, V @H _@W[C K@GFK@ UADA_HC @L GPC[AW, GCI@L]ALKC AH [@_G@_ I@W. WF @H Z@LK@KC_ AUHFGA PLA [AWA K@ FL[@_@W FL[@ _@W K@H 1>% ALPAH ALPAH GAUF[AHF]AKA GAUF[AHF]AK A I@LW I@LWPAHI@L[@, PAHI@L[@, ³K@ GPAL[C W@_ÁL HCW ; K@UCWF[CW FDPAH@W L@G@WA_FCW UA_A GPO_F_ HA [C[AHFKAK K@ HA K@PKA3. 11.- K@L[_C K@L[ _C K@ 7 AÑCW, AÑCW, PLA U@_WCLA U@_WCLA _@GFOF_A _@GFO F_A HA WWPIA PIA K@ $0.555.555, $0. 555.555, GC__@WUCLKF@ GC__@WUCLKF@L[@ L[@ A PL U_@W[AIC C[C_DAKC NAG@ NAG@ 7 AÑCW A PLA [AWA [ AWA K@ FL[@_@W FL[@_ @W K@H 7:% ALPAH GAUF[AHF]AKC I@LWPAHI@L[@, W@ K@W@A WAO@_ GPAH JP@ @H ZAHC_ K@H U_@W[AIC. 1?.- W@ GCIU_× GCIU_× PL Z@NFGPHC GCL GCL PLA GPC[A FLFGFAH K@ $1.555.555 y 7: GPC[AW I@LWPAH@W FDPAH@W K@ $?55.555. HA AD@LGFA GCO_A ?,0% I@LWPAH. GAHGPHA_ @H ZAHC_ K@H Z@NFGPHC. 17.- PL U_ÆW[AIC K@ $1.555 GCL GCL 0 AÑCW K@ UHA]C W@ W@ UADC @L @ L GPC[AW FDPAH@W. HA [AWA K@ FL[@_ÆW FL[@_ ÆW @W K@H 75% ALPAH. ³GPÁH ³GPÁH @W HA IADLF[PK IADLF [PK K@ HA GPC[A3 GPC[A3

Fld. Gfvfh Uavhcva Hfzala P.

Uádfla 4

 

U_@UA_AGF×L U_@UA_AG F×L V @ZAHPAG @ZAHPAGF×L F×L K@ U_CV U_CV@G[CW @G[CW JC_IPHA_FC=

               

 

              

 

    R    Y

 

           

 

     

 

   

 

     ) (        

 

Fld. Gfvfh Uavhcva Hfzala P.

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